Question

6) Given that the point (3, −10) lies on the graph of a function , what point must be on the graph of ℎ

where ℎ() = ( − 4) + 2?

Answer 1

(7,-8)

Explanation:

Given

(x,y) = (3,-10)

Required

The equivalent point on h(x) = k(x - 4) + 2

(x,y) = (3,-10) means

k(3) = -10

Substitute 7 for x in h(x)

h(7) = k(7-4) + 2

h(7) = k(3) + 2

Substitute -10 for k(3)

h(7) = -10 + 2

h(7) = -8

So, the equivalent point on h(x) is

(7,-8)